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STALIN [3.7K]
3 years ago
11

When attempting to do his/her homework, a student uses the addition property of equality to solve for a below. Which statement B

EST applies to the sample below? a + 3 = 9 a + 3 – 3 = 9 – 9 a = 0 A. The student failed to keep both sides of the equation balanced. B. The student’s final answer does not have the variable a isolated. C. The use of the addition property of equality is sound, and the answer is correct. D. The student should have added 3 to the left side of the equation rather than subtracting.
Mathematics
1 answer:
Eduardwww [97]3 years ago
8 0

The appropriate choice is ...

.... A. The student failed to keep both sides of the equation balanced

_____

The one rule I learned in my study of Algebra that makes it all make sense is "keep the equal sign sacred." That is, whatever you do to one side of the equation must also be done to the other side of the equation. (Various teachers show various shortcuts that make it look like you're doing different things to the different sides of the equation. Don't be confused. If the operation can't be put in terms of doing the same thing to both sides, it doesn't work.)

Of course, you can always add 0 or multiply by 1 whenever and wherever you want.

_____

For the above equation, the appropriate solution is

... a + 3 = 9

... a + 3 - 3 = 9 - 3 . . . . . . addition property of equality

... a + 0 = 6 . . . . . . . . . . . .rules of arithmetic

... a = 6 . . . . . . . . . . . . . . . additive identity property of 0

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According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not
Lorico [155]

Answer and Step-by-step explanation:

From the question statement we get know that it is Binomial distribution because there are only two possible outcomes so we need to use Binomial Probability Distribution for this question.

Formula for the Binomial Probability Distribution:

P(X)=   p^x q^(n-x)

Where,

  • C_x^n=n!/(n-x)!x!   (i.e. combination)
  • x= total number of successes
  • p=probability of success (p=1-q)  
  • q=probability of failure (q=1-p)
  • n=number of trials
  • P(X)= probability of total number of successes

Answer and explanation for each part of the question are as follow:

a.What is the probability that among 10 randomly observed individuals exactly 4 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=4 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-4)!4!=210

P(X)=C_x^n   p^x q^(n-x)=210×〖(0.267)〗^4×〖0.733〗^(10-4)

P(X)=210×0.00508×0.155  

P(X)=0.165465  

b. What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

Solution:

Given that

n=10  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=3 (number of successes i.e. individuals not covering their mouths)

C_x^n=n!/(n-x)!x!=10!/(10-3)!3!=120

P(X)=C_x^n   p^x q^(n-x)=120×(0.267)^3×〖0.733〗^(10-3)

P(X)=120×0.01903×0.1136  

P(X)=0.25962  

c. Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? why?

Solution:

Given that

n=18  

p=0.267 (because p is the probability of success which is “number of individuals not covering their mouths when sneezing” in the question)

q=1-0.267=0.733  

x=9 (x is the number of successes “number of individuals not covering their mouths when sneezing”, if less than half cover their mouth then more than half will not cover), so let x=9

C_x^n=n!/(n-x)!x!=18!/(18-9)!9!=48620

P(X)=48620×(0.267)^9×〖0.733〗^(18-9)  

P(X)=48620×0.00000689×0.0610  

P(X)=0.020  

Yes, I am surprised that probability of less than 9 individuals covering their mouth when sneezing is 0.020. Which is extremely is small.

3 0
3 years ago
Choose the improper fraction that is equivalent to the mixed number 2 17/24
Alborosie

Answer:

31/24

Step-by-step explanation:

multiple 2 by 24, then add 17, which you get 31, and put it over 24

31/24

8 0
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Gap sells jeans that cost $21.00 for a selling price of $29.95. The percent of markup based on cost is
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If Gap sells jeans that cost $21.00 for selling price of $29.95. The percent of markup based on cost is approximately 43%. The markup in price is exactly $8.95.
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Answer:

£15120

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60-18= 42  years

42×12= 504 months

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3 years ago
The main show tank has a radius of 60 feet and forms a quarter-sphere. what is the volume of the quarter-sphere shaped tank? rou
schepotkina [342]
By definition, the volume of a quarter of a sphere is given by:
 V = (1/4) * (4/3) * (\pi) * (r ^ 3)

 Where,
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 Substituting values we have:
 V = (1/4) * (4/3) * (3.14) * (60 ^ 3)

 Making the corresponding calculation we have:
 V = 226080 feet ^ 3
 Answer:
 
The volume of the quarter-sphere shaped tank is:
 
V = 226080 feet ^ 3
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3 years ago
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